What is the answer to 2-(15)/p =-(25)/(p^2) ?

The answer to 2-(15)/p =-(25)/(p^2) is p=5,p= 5/2

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2-(15)/p =-(25)/(p^2)

2 - \frac{15}{p} = - \frac{25}{p ^{2}}

p = 5, p = \frac{5}{2}

Decimal Notation

p = 5, p = 2.5

Solution steps

2 - \frac{15}{p} = - \frac{25}{p ^{2}}

Multiply by LCM

2 p^{2} - 15 p = - 25

Solve

2 p^{2} - 15 p = - 25 : p = 5, p = \frac{5}{2}

p = 5, p = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = 5, p = \frac{5}{2}

\frac{1}{x - 1} - 3 = - \frac{7 x}{x - 1}

1 - \frac{8 x}{x - 6} = \frac{1}{x - 6}

\frac{x - 13}{x} = 5 - \frac{10 ( 5 x + 3 )}{x ^{2}}

\frac{2 x}{x + 3} = - \frac{6}{x + 3} - 2

\frac{x + 3}{x} = \frac{2 x + 10}{x - 3}

What is the answer to 2-(15)/p =-(25)/(p^2) ?
The answer to 2-(15)/p =-(25)/(p^2) is p=5,p= 5/2
Solve for p: 2-(15)/p =-(25)/(p^2)
The solution is p=5,p= 5/2